[图书][B] Relative homological algebra: Volume 1

EE Enochs, OMG Jenda - 2011 - books.google.com
This is the second revised edition of an introduction to contemporary relative homological
algebra. It supplies important material essential to understand topics in algebra, algebraic …

Absolute, relative, and Tate cohomology of modules of finite Gorenstein dimension

LL Avramov, A Martsinkovsky - Proceedings of the London …, 2002 - cambridge.org
We study finitely generated modules has finite projective dimension. Comparison
morphisms and link these functors. We give a self-contained treatment of modules of finite G …

On Gorenstein projective, injective and flat dimensions-a functorial description with applications

LW Christensen, A Frankild, H Holm - arXiv preprint math/0403156, 2004 - arxiv.org
Gorenstein homological dimensions are refinements of the classical homological
dimensions, and finiteness singles out modules with amenable properties reflecting those of …

Coherent rings with finite self-FP-injective dimension

N Ding, J Chen - Communications in algebra, 1996 - Taylor & Francis
Coherent rings with finite self-FP-injective dimension Page 1 COMMUNICATIONS IN ALGEBRA,
24(9), 2963-2980 (1996) COHERENT RINGS WITH FINITE SELF-FP-INJECTIVE DIMENSION …

On the vanishing of Ext over formal triangular matrix rings

J Asadollahi, S Salarian - 2006 - degruyter.com
Let A and B be two rings, M be a left B, right A bimodule and be the formal triangular matrix
ring. It is known that the category of right T-modules is equivalent to the category Ω of triples …

Cohomology theories based on Gorenstein injective modules

J Asadollahi, S Salarian - Transactions of the American Mathematical …, 2006 - ams.org
In this paper we study relative and Tate cohomology of modules of finite Gorenstein injective
dimension. Using these cohomology theories, we present variations of Grothendieck local …

Gorenstein injective dimension and Tor-depth of modules

EE Enochs, OMG Jenda - Archiv der Mathematik, 1999 - Springer
The main aim of this paper is to obtain a dual result to the now well known Auslander-
Bridger formula for G-dimension. We will show that if R is a complete Cohen-Macaulay ring …

[PDF][PDF] Gorenstein injective modules over Gorenstein rings

EE Enochs, OMG Jenda - Communications in Algebra, 1998 - Taylor & Francis
R will denote an n-Gorenstein ring, that is, R is left and right noetherian with injective
dimension at most n on either side. R module will mean a left R-module and all modules will …

n—Gorenstein 环上的Gorenstein 内射模

杜先能, 陈正新 - 工科数学, 2002 - cqvip.com
n—Gorenstein环上的Gorenstein内射模-[维普网]-仓储式在线作品出版平台-www.cqvip.com 
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Relative and Tate cohomology of Ding modules and complexes

C Zhang - Journal of the Korean Mathematical Society, 2015 - koreascience.kr
We investigate the relative and Tate cohomology theories with respect to Ding modules and
complexes, consider their relations with classical and Gorenstein cohomology theories. As …